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Numerical optimization algorithm for solving time-fractional telegraph equations

delete2025-03-24
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PRE
AI
J
J. Zhang
F
Fengying Zhou *
M
Mao, Naiwei
DOI：10.1088/1402-4896/adbf6fdelete
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摘要

摘要

En 中文
利用第八类分数Chebyshev小波（EFCWs）与鲸鱼优化算法（WOA）相结合的数值优化算法被开发出来，用于求解时间分数阶电报方程。首先，EFCWs基于第八类Chebyshev多项式构建。随后，详细分析了EFCWs的若干性质，包括小波展开的收敛性分析和误差估计。在此基础上，在Riemann-Liouville分数阶积分框架下推导了EFCWs的分数积分公式。利用这些公式结合配置法，通过将时间分数阶电报方程离散化为方程组，建立了一种数值方案。此后，采用WOA进一步优化所提出的数值算法。最后，通过具体实例说明该方法的适用性。计算结果经过严格分析，并与现有研究成果进行比较。比较分析不仅验证了所提方法的可行性和有效性，还突显了WOA在提升数值方案性能方面的潜力。
Keyword:
the eighth kind Chebyshev polynomials
EFCWs
WOA
time-fractional telegraph equation
collocation method

期刊

Physica Scripta 封面图
Physica Scripta
IF:
2.6
论文数:
4.3K
被引数:
2.5W

机构

J
jiangxi science &technology normal university
学者数:
2.9K
论文数: 1.8K
被引数: 2
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